3/7 cộng x chia 1/3 =19/21
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{5}A=\frac{1}{5}.\left(\frac{1}{5}+\frac{1}{5^2}+...+\frac{1}{5^{20}}\right)\)
\(\Rightarrow\frac{1}{5}A=\frac{1}{5^2}+\frac{1}{5^3}+...+\frac{1}{5^{20}}\)
\(\Rightarrow\frac{1}{5}A-A=\left(\frac{1}{5^2}+...+\frac{1}{5^{21}}\right)-\left(\frac{1}{5}+...+\frac{1}{5^{20}}\right)\)
\(-\frac{4}{5}A=\frac{1}{5^{21}}-\frac{1}{5}\)
\(\Rightarrow A=\left(\frac{1}{5^{21}}-\frac{1}{5}\right):\left(-\frac{4}{5}\right)\)
các câu còn lại tương tự thôi
B1 c2
dùng xích ma \(\text{∑}^{20}_1\left(\frac{1}{5^x}\right)=0,25=\frac{1}{4}\)
chỗ phía dưới là 1 nha nó bị che
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x-\frac{3}{7}=\frac{-4}{3}\)
\(x=\frac{-4}{3}+\frac{3}{7}\)
\(x=-\frac{19}{21}\)
Vậy chọn đáp án \(a.\frac{-19}{21}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(a\right)\frac{3}{5}\cdot\frac{8}{21}\cdot\frac{5}{3}=\left(\frac{3}{5}\cdot\frac{5}{3}\right)\cdot\frac{8}{21}=1\cdot\frac{8}{21}=\frac{8}{21}\)
(b) sai đề
\(\left(c\right)x\cdot\frac{1}{2}=\frac{1}{3}\)
\(x=\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{2}{3}\)
\(\left(d\right)\frac{x}{\frac{4}{5}}=\frac{5}{2}\)
\(x=\frac{5}{2}\cdot\frac{4}{5}=2\)
\(\left(e\right)\frac{\frac{2}{9}}{x}=\frac{2}{3}\)
\(x=\frac{\frac{2}{9}}{\frac{2}{3}}=\frac{1}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(54:3^1+6.5^2\)
\(=54:3+6.25\)
\(=18+150\)
\(=168\)
\(---------\)
\(11-13+15-17+19-21+23-25\)
\(=\left(11-13\right)+\left(15-17\right)+\left(19-21\right)+\left(23-25\right)\)
\(=\left(-2\right)+\left(-2\right)+\left(-2\right)+\left(-2\right)\)
\(=\left(-2\right).4\)
\(=-8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đề như này?: \(21\frac{7}{19}\div1\frac{1}{5}-3\frac{7}{19}\div1\frac{1}{5}\)
\(=\left(21\frac{7}{19}-3\frac{7}{19}\right)\div1\frac{1}{5}\)
\(=\left(\frac{406}{19}-\frac{64}{19}\right)\div\frac{6}{5}\)
\(=18\div\frac{6}{5}\)
\(=15\)
3/7 + x : 1/3 = 19/21
-> x : 1/3 = 19/21 - 3/7
-> x : 1/3 = 10/21
-> x = 10/21 . 1/3
-> x = 10/63
x=10/63